Nanosecond discharge in atmospheric pressure air with ectonic introduction of iron and copper vapor in plasma and its application in nanotechnology

This study provides a brief overview of the application of possible modifications of Lanchester-type models, namely, the representation of differential equations of such models in stochastic form. The stochastic setting of differential levels is used in Dynamic models if it is necessary to take into account the influence of random fluctuations (in particular, in radio engineering, thermodynamics, population dynamics models, etc.). As for Lanchester-type models, their stochastic appearance would allow considering the influence of random factors and elements of uncertainty, which are present to a certain extent in any combat operations. At the same time, unlike deterministic models, the numerical solution of systems of stochastic differential equations in such models requires the use of special methods, the choice of a specific one may be based on the requirements for the need to obtain an unambiguous approximate solution, or the probability distribution of the desired quantities. The possibility of obtaining different types of solutions is due to a characteristic feature of the developed methods for numerical integration of stochastic differential equations, namely, the existence of weak and strong approximate methods for solving them. For Lanchester equations, as models for predicting the probable course and results of combat operations, it seems appropriate to obtain a solution precisely in the form of parameters for distributions of random variables, which is possible after processing the results of using weak numerical methods. In addition, such methods are considered easier to implement in practice. Of particular note are the issues of estimating the stability of solutions (in the sense of Lyapunov) of stochastic models. While for Lanchester-type models, approximate practical methods for estimating stability can be considered, especially in relation to the simplest, linear statements of basic equations. The study considers an example of using the stochastic Lanchester-type model based on a system of linear inhomogeneous differential equations, with assumptions about the stability of solutions to the stochastic formulation of such equations.

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Features of application of the Lanchester-type mathematical models in stochastic formulation when assessing the realities of air-land battle

Semenenkо

Mashkin

Onofriichuk

et al. 2021

INCAS BULLETIN

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Overstressed Nanosecond Discharge in the Gases at Atmospheric Pressure and Its Application for the Synthesis of Nanostructures Based on Transition Metals

Шуаібов¹,

Малинина²

2021

Usp. Fiz. Met.

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overstressed nanosecond discharge in the gases at atMosPheric Pressure and its aPPlication for the synthesis of nanostructures Based on transition Metals the review article presents the characteristics and parameters of an overstressed nanosecond discharge (oND) in air and argon at atmospheric pressure between electrodes made of zinc, copper, and aluminium. the technique, methods and experimental conditions for studying the characteristics and parameters of the oND and its application for the synthesis of thin nanostructured films of transition-metal oxides synthesized under intense ultraviolet (UV) irradiation of the substrate with film are presented. the microexplosions of inhomogeneities on the surface of electrodes in a strong electric field act as a source of metal vapour in plasma. the spatial, electrical, and optical characteristics of the oND in air and argon between transition-metal electrodes, which was ignited in the needle-to-needle electrode system, are reported. the results of experimental measurements of the parameters of the discharge plasma based on the cu-air gas-vapour mixtures are presented. the optical characteristics of thin nanostructured transition-metal oxide films synthesized under conditions of automatic UV irradiation of the substrate by the discharge plasma are considered.

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Nanosecond discharge in atmospheric pressure air with ectonic introduction of iron and copper vapor in plasma and its application in nanotechnology

Cited by 2 publications

References 3 publications

Features of application of the Lanchester-type mathematical models in stochastic formulation when assessing the realities of air-land battle

Features of application of the Lanchester-type mathematical models in stochastic formulation when assessing the realities of air-land battle

Overstressed Nanosecond Discharge in the Gases at Atmospheric Pressure and Its Application for the Synthesis of Nanostructures Based on Transition Metals

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